Question

How do you divide `(4x ^ { 3} - 12x + 8) \div ( x - 3)`?

Answer 1

`4x^2 +12x +4` Remainder: `  (80)/(x-3)`

Explanation:

`color(white)(xxxxxxxxxx)ul(4x^2+ color(white)(xxxxxx) 12x + 24 color(white)(xx)`
`color(white)(xxxxx) x−3 | 4x^3 color(white)(xxxxxx) -12x+8`
`color(white)(xxxxxxxxx) ul(-4x^3+12x^2 color(white)(xxxxxx))`
`color(white)(xxxxxxxxxxxxxxx)12x^2-12x`
`color(white)(xxxxxxxxxxxxxx) ul(-12x^2+36x color(white)(xxxx))`
`color(white)(xxxxxxxxxxxxxxxxxxxx) 24x+color(white)(x)8`
`color(white)(xxxxxxxxxxxxxxxxxxx) ul(-24x+72color(white)(x))`
`color(white)(xxxxxxxxxxxxxxxxxxxxxxxxx)80`

Answer:
`4x^2 +12x +4`

Remainder: `  (80)/(x-3)`